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Theorem ax17m 218
 Description: Axiom to quantify a variable over a formula in which it does not occur. Axiom C5 in [Megill] p. 444 (p. 11 of the preprint). Also appears as Axiom B6 (p. 75) of system S2 of [Tarski] p. 77 and Axiom C5-1 of [Monk2] p. 113. (Contributed by Mario Carneiro, 10-Oct-2014.)
Hypothesis
Ref Expression
ax17m.1
Assertion
Ref Expression
ax17m
Distinct variable groups:   ,   ,

Proof of Theorem ax17m
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ax17m.1 . 2
2 wv 64 . . 3
31, 2ax-17 105 . 2
41, 3isfree 188 1
 Colors of variables: type var term Syntax hints:  tv 1  hb 3  kc 5  kl 6  kt 8  kbr 9   wffMMJ2 11  wffMMJ2t 12   tim 121  tal 122 This theorem was proved from axioms:  ax-syl 15  ax-jca 17  ax-simpl 20  ax-simpr 21  ax-id 24  ax-trud 26  ax-cb1 29  ax-cb2 30  ax-wctl 31  ax-wctr 32  ax-weq 40  ax-refl 42  ax-eqmp 45  ax-ded 46  ax-wct 47  ax-wc 49  ax-ceq 51  ax-wv 63  ax-wl 65  ax-beta 67  ax-distrc 68  ax-leq 69  ax-distrl 70  ax-wov 71  ax-eqtypi 77  ax-eqtypri 80  ax-hbl1 103  ax-17 105  ax-inst 113  ax-eta 177 This theorem depends on definitions:  df-ov 73  df-al 126  df-an 128  df-im 129 This theorem is referenced by: (None)
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